Tommy decided to also make a sampler can with a diameter of 2 inches and a height of 3 inches. Tommy calculated that the area of the base was es002-1.jpg, and multiplied that by the height of 3 inches for a total volume of es002-2.jpg. Explain the error Tommy made when calculating the volume of the can.
Tommy used the diameter instead of the radius in the formula to find the area of the base. The diameter needs to be divided by 2 to find the radius. The correct area of the base is 1 pi square inches. The correct total volume is 3 pi cubic inches.
Tommy used the diameter instead of the radius in the formula to find the area of the base. The diameter needs to be divided by 2 to find the radius. The correct area of the base is 1 pi square inches. The correct total volume is 3 pi cubic inches
To explain the error Tommy made when calculating the volume of the can, we need to understand the correct formula for calculating the volume of a cylinder. The correct formula is V = πr^2h, where V represents the volume, r is the radius of the base, h is the height of the cylinder, and π is a mathematical constant approximately equal to 3.14159.
Now, let's examine the values provided by Tommy. He mentioned that the diameter of the can is 2 inches. To calculate the radius, we need to divide the diameter by 2. Therefore, the radius (r) would be 2 inches / 2 = 1 inch.
Tommy also mentioned that the height (h) of the can is 3 inches. However, the area of the base he provided (es002-1.jpg) is incorrect and seems to be missing. Without the correct base area, we cannot determine the actual volume of the can.
To calculate the volume of the can correctly, we would use the formula V = πr^2h. Assuming the missing base area is valid, we can insert the values into the equation to get the correct answer.
I can not see your pictures but
Base area = pi d^2 / 4 = pi in^2
base height = 3 pi in^3
= 9.42 in^3